Details
| Original language | English |
|---|---|
| Pages (from-to) | 179-189 |
| Number of pages | 11 |
| Journal | Modern Physics Letters A |
| Volume | 23 |
| Issue number | 3 |
| Publication status | Published - 30 Jan 2008 |
Abstract
We consider generalized self-duality equations for U(2r) Yang-Mills theory on ℝ4k with quaternionic structure and self-dual Moyal deformation. We employ the extended ADHM method in 4k dimensions to construct new noncommutative generalizations of the 't Hooft as well as of the BPST instantons. It is shown that in the commutative limit the BPST-type configurations coincide with the standard instantons on ℍPk written in local coordinates.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
- Physics and Astronomy(all)
- Astronomy and Astrophysics
- Physics and Astronomy(all)
- General Physics and Astronomy
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In: Modern Physics Letters A, Vol. 23, No. 3, 30.01.2008, p. 179-189.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Construction of noncommutative instantons in 4k dimensions
AU - Brödel, Johannes
AU - Ivanova, Tatiana A.
AU - Lechtenfeld, Olaf
N1 - Funding Information: The authors are grateful to A. D. Popov for fruitful discussions and useful comments. T.A.I. acknowledges the Heisenberg–Landau program and the Russian Foundation for Basic Research (grant 06-01-00627-a) for partial support and the In-stitut für Theoretische Physik der Leibniz Universität Hannover for its hospitality. The work of O.L. was partially supported by the Deutsche Forschungsgemeinschaft. Copyright: Copyright 2008 Elsevier B.V., All rights reserved.
PY - 2008/1/30
Y1 - 2008/1/30
N2 - We consider generalized self-duality equations for U(2r) Yang-Mills theory on ℝ4k with quaternionic structure and self-dual Moyal deformation. We employ the extended ADHM method in 4k dimensions to construct new noncommutative generalizations of the 't Hooft as well as of the BPST instantons. It is shown that in the commutative limit the BPST-type configurations coincide with the standard instantons on ℍPk written in local coordinates.
AB - We consider generalized self-duality equations for U(2r) Yang-Mills theory on ℝ4k with quaternionic structure and self-dual Moyal deformation. We employ the extended ADHM method in 4k dimensions to construct new noncommutative generalizations of the 't Hooft as well as of the BPST instantons. It is shown that in the commutative limit the BPST-type configurations coincide with the standard instantons on ℍPk written in local coordinates.
UR - http://www.scopus.com/inward/record.url?scp=43949108597&partnerID=8YFLogxK
U2 - 10.1142/S0217732308026261
DO - 10.1142/S0217732308026261
M3 - Article
AN - SCOPUS:43949108597
VL - 23
SP - 179
EP - 189
JO - Modern Physics Letters A
JF - Modern Physics Letters A
SN - 0217-7323
IS - 3
ER -